Points, Lines, Planes, and Angles

PDF File | Theorems and Postulates

Course Overview
In this course, students formally define geometric figures; describe and apply the properties of similar and congruent figures; and justify conjectures involving similarity and congruence. They recognize and apply angle relationships in situations involving intersecting lines, perpendicular lines, and parallel lines; use coordinate geometry to represent and examine the properties of geometric figures including slope, midpoint, distance, parallel, and perpendicular lines; draw and construct representations of two- and three-dimensional geometric objects using a variety of tools such as straightedge, compass, and technology. Students represent and model transformations in a coordinate plane and describe results; prove or disprove conjectures and establish the validity of conjectures about geometric objects, their properties and relationships by counterexample, inductive and deductive reasoning, and critiquing arguments made by others. Students use right triangle trigonometric relationships to determine lengths and angle measures; use algebraic representations to model and solve problem situations and to describe and generalize geometric properties and relationships; connect physical, verbal, and symbolic representations of irrational numbers; calculate and explain the difference between absolute error and relative error; interpret the relationship between two variables using multiple graphical displays and statistical measures; model problems dealing with uncertainty with area models; differentiate and explain the relationship between the probability of an event and the odds of an event.

Required Materials for Math CP Geometry
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POINTS, LINES, PLANES, AND ANGLES

Unit Overview
In this course, you will learn about mathematics through lines and shapes. You will learn theory through studying theorems and postulates. You will apply theory by solving problems about lines and shapes. Look around and you will see that just about everything has a geometrical shape. Some objects have very basic shapes like rectangles and parallel lines while others are more complex like ovals and octahedrons. In essence, there is geometry behind most objects with which we are familiar. Enjoy this course and along the way learn to appreciate the beauty of geometry in your world!

In the first unit, you will examine points, lines, and planes and their connections. You will then study angles and connect various angle relationships. You will also learn how to make geometric constructions.